What is the integral from 0 to pi/3 of 10sec^2(x) ?

The integral from 0 to pi/3 of 10sec^2(x) is 10sqrt(3)

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integral from 0 to pi/3 of 10sec^2(x)

\int_{0}^{\frac{π}{3}} 10 sec^{2} (x) d x

103

Decimal Notation

17.32050 \dots

Solution steps

\int_{0}^{\frac{π}{3}} 10 sec^{2} (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 10 \cdot \int_{0}^{\frac{π}{3}} sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= 10 [tan (x)]_{0}^{\frac{π}{3}}

Compute the boundaries:

3

= 103

\int_{- 7}^{7} 49 - x^{2} d x

- \frac{2}{5} x^{\frac{3}{4}}

\int_{1}^{6} \frac{5}{x ^{2}} d x

f (x) = x^{4} - 6 x^{2} + 9

\frac{d}{d t} (in cos (t))

What is the integral from 0 to pi/3 of 10sec^2(x) ?
The integral from 0 to pi/3 of 10sec^2(x) is 10sqrt(3)